Finding the Third Proportional to 19,677 and 42,000

Step by Step Solution

1. Step 1: Write the proportion equation
   19,677 : 42,000 = 42,000 : x
2. Step 2: Convert to fraction form
   19,677/42,000 = 42,000/x
3. Step 3: Cross multiply
   19,677x = 42,000 × 42,000
4. Step 4: Simplify right side
   19,677x = 1,764,000,000
5. Step 5: Solve for x
   x = 1,764,000,000/19,677
6. Step 6: Final answer
   x = 89,647.81